54094002144 has 384 divisors, whose sum is σ = 178381099008. Its totient is φ = 13974405120.

The previous prime is 54094002133. The next prime is 54094002173. The reversal of 54094002144 is 44120049045.

It is a super-2 number, since 2×54094002144² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172824132 + ... + 172824444.

It is an arithmetic number, because the mean of its divisors is an integer number (464534112).

Almost surely, 2^54094002144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54094002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89190549504).

54094002144 is an abundant number, since it is smaller than the sum of its proper divisors (124287096864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54094002144 is a wasteful number, since it uses less digits than its factorization.

54094002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 54094002144 in words is "fifty-four billion, ninety-four million, two thousand, one hundred forty-four".